77238252 has 192 divisors, whose sum is σ = 255897600. Its totient is φ = 19595520.

The previous prime is 77238251. The next prime is 77238263. The reversal of 77238252 is 25283277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77238251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284877 + ... + 285147.

It is an arithmetic number, because the mean of its divisors is an integer number (1332800).

Almost surely, 2^77238252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77238252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127948800).

77238252 is an abundant number, since it is smaller than the sum of its proper divisors (178659348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77238252 is a wasteful number, since it uses less digits than its factorization.

77238252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 77238252 is about 8788.5295698427. The cubic root of 77238252 is about 425.8704228001.

The spelling of 77238252 in words is "seventy-seven million, two hundred thirty-eight thousand, two hundred fifty-two".